CONFIDENCE.NORM function

PRO

The CONFIDENCE.NORM function in Jspreadsheet Formulas Pro is a handy tool that provides the confidence interval for a population mean. In simpler terms, it tells you the range in which you can expect to find the average value of a population based on your sample data, assuming a normal distribution. This function is particularly useful in statistical analysis and forecasting, helping to predict future values with a certain level of confidence.

Documentation

Returns the confidence interval for a population mean, using a normal distribution.

Syntax

CONFIDENCE.NORM(alpha, standard_dev, size)

Parameter	Description
`alpha`	The significance level used to compute the confidence level. Often represented as a decimal; for example, use 0.05 for a 95% confidence level.
`standard_dev`	The population standard deviation for the data range and is assumed to be known. Must be greater than 0.
`size`	The sample size.

Behavior

The CONFIDENCE.NORM function is used to compute the confidence interval for a population mean, using a normal distribution. The function requires three arguments: alpha, standard_dev, and size.

If any of the arguments are empty cells, the function will return an error.
If any of the arguments are text, the function will attempt to convert the text to numbers. If the conversion is not possible, the function will return an error.
The function treats booleans as numbers, with TRUE being equivalent to 1 and FALSE being equivalent to 0.
If the standard_dev argument is less than or equal to 0, or the size argument is less than or equal to 1, the function will return an error.
If the alpha argument is less than or equal to 0, or greater than or equal to 1, the function will return an error.
The function is not affected by the formatting of the cells.

Common Errors

Error	Description
#VALUE!	The function returns this error when it fails to convert text to numbers.
#NUM!	The function returns this error when `alpha` is less than or equal to 0, or greater than or equal to 1; `standard_dev` is less than or equal to 0; or `size` is less than or equal to 1.

Best practices

Make sure all input cells contain numeric values. Text or boolean values can lead to errors or unexpected results.

Be careful when choosing values for alpha, standard_dev, and size. Incorrect values can lead to errors or significantly alter the results of the function.

Use appropriate decimal places in your input to ensure accuracy of the results.

Always check the validity of the data and the assumptions of normal distribution before using the CONFIDENCE.NORM function.

Usage

A few examples using the CONFIDENCE.NORM function.

| Formula                            | Result (approx.) | Explanation                                               |
|------------------------------------|------------------|-----------------------------------------------------------|
| CONFIDENCE.NORM(0.05, 1.5, 30)     | ≈ 0.5368         | 95% CI, std dev = 1.5, n = 30                             |
| CONFIDENCE.NORM(0.01, 2, 50)       | ≈ 0.7361         | 99% CI, larger margin of error due to higher confidence   |
| CONFIDENCE.NORM(0.10, 3, 20)       | ≈ 0.6929         | 90% CI, std dev = 3, n = 20                               |

Interactive Spreadsheet Demo

<html>
<script src="https://jspreadsheet.com/v11/jspreadsheet.js"></script>
<script src="https://jsuites.net/v5/jsuites.js"></script>
<link rel="stylesheet" href="https://jsuites.net/v5/jsuites.css" type="text/css" />
<link rel="stylesheet" href="https://jspreadsheet.com/v11/jspreadsheet.css" type="text/css" />

<link rel="stylesheet" href="https://fonts.googleapis.com/css?family=Material+Icons" />
<script src="https://cdn.jsdelivr.net/npm/@jspreadsheet/formula-pro/dist/index.min.js"></script>

<div id="spreadsheet"></div>

<script>
// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

// Create a new spreadsheet
jspreadsheet(document.getElementById('spreadsheet'), {
  worksheets: [{
    data: [
    [
        "Alpha",
        "Std Dev",
        "Sample Size",
        "Confidence Interval"
    ],
    [
        0.05,
        1.5,
        30,
        "=CONFIDENCE.NORM(A2,B2,C2)"
    ],
    [
        0.01,
        2.3,
        50,
        "=CONFIDENCE.NORM(A3,B3,C3)"
    ],
    [
        0.1,
        0.8,
        25,
        "=CONFIDENCE.NORM(A4,B4,C4)"
    ]
]
  }]
});
</script>
</html>

import React, { useRef } from "react";
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/react";
import formula from "@jspreadsheet/formula-pro";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default function App() {
    // Spreadsheet array of worksheets
    const spreadsheet = useRef();

    // Worksheet data
    const data = [
    [
        "Alpha",
        "Std Dev",
        "Sample Size",
        "Confidence Interval"
    ],
    [
        0.05,
        1.5,
        30,
        "=CONFIDENCE.NORM(A2,B2,C2)"
    ],
    [
        0.01,
        2.3,
        50,
        "=CONFIDENCE.NORM(A3,B3,C3)"
    ],
    [
        0.1,
        0.8,
        25,
        "=CONFIDENCE.NORM(A4,B4,C4)"
    ]
];

    // Render component
    return (
        <Spreadsheet ref={spreadsheet}>
            <Worksheet data={data} />
        </Spreadsheet>
    );
}

<template>
    <Spreadsheet ref="spreadsheet">
        <Worksheet :data="data" />
    </Spreadsheet>
</template>

<script>
import { Spreadsheet, Worksheet, jspreadsheet } from "@jspreadsheet/vue";
import "jsuites/dist/jsuites.css";
import "jspreadsheet/dist/jspreadsheet.css";
import formula from "@jspreadsheet/formula-pro";

// Set license
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

export default {
    components: {
        Spreadsheet,
        Worksheet,
    },
    data() {
        // Worksheet data
        const data = [
    [
        "Alpha",
        "Std Dev",
        "Sample Size",
        "Confidence Interval"
    ],
    [
        0.05,
        1.5,
        30,
        "=CONFIDENCE.NORM(A2,B2,C2)"
    ],
    [
        0.01,
        2.3,
        50,
        "=CONFIDENCE.NORM(A3,B3,C3)"
    ],
    [
        0.1,
        0.8,
        25,
        "=CONFIDENCE.NORM(A4,B4,C4)"
    ]
]

        return {
            data
        };
    }
}
</script>

import { Component, ViewChild, ElementRef } from "@angular/core";
import jspreadsheet from "jspreadsheet";
import * as formula from "@jspreadsheet/formula-pro";

// Set your JSS license key (The following key only works for one day)
jspreadsheet.setLicense('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');

// Set the extensions
jspreadsheet.setExtensions({ formula });

@Component({
    standalone: true,
    selector: "app-root",
    template: `<div #spreadsheet></div>`
})
export class AppComponent {
    @ViewChild("spreadsheet") spreadsheet: ElementRef;
    // Worksheets
    worksheets: jspreadsheet.worksheetInstance[];

    // Create a new data grid
    ngAfterViewInit() {
        // Create spreadsheet
        this.worksheets = jspreadsheet(this.spreadsheet.nativeElement, {
            worksheets: [{
                data: [
    [
        "Alpha",
        "Std Dev",
        "Sample Size",
        "Confidence Interval"
    ],
    [
        0.05,
        1.5,
        30,
        "=CONFIDENCE.NORM(A2,B2,C2)"
    ],
    [
        0.01,
        2.3,
        50,
        "=CONFIDENCE.NORM(A3,B3,C3)"
    ],
    [
        0.1,
        0.8,
        25,
        "=CONFIDENCE.NORM(A4,B4,C4)"
    ]
]
            }]
        });
    }
}

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